| 齐型空间上Littlewood－Paley算子在Lipschitz函数类上的有界性 |
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| 引用本文： | 常心怡,石智. 齐型空间上Littlewood－Paley算子在Lipschitz函数类上的有界性[J]. 陕西师范大学学报(自然科学版), 1995, 0(3) |
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| 作者姓名： | 常心怡 石智 |
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| 作者单位： | 陕西师范大学数学系 |
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| 摘 要： | 证明了齐型空间上Ｌｉｔｔｌｅｗｏｏｄ－Ｐａｌｅｙ算子作为Ｌｉｐｓｃｈｉｔｚ函数类上的算子，当算子的像函数值在一点有限时，它们都是Ｌｉｐ（α）上的有界算子．
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| 关 键 词： | 实分析；调和分析；齐型空间；Littlewood－Paley算子；ε算子族 |
Boundedness of the Littlewood-Paley operators on Lipschitz functions on a space of homogenous type |
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| Chang Xinyi,Shi Zhi. Boundedness of the Littlewood-Paley operators on Lipschitz functions on a space of homogenous type[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1995, 0(3) |
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| Authors: | Chang Xinyi Shi Zhi |
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| Abstract: | By estimating accuratly the integrals, it is concluded that Littlewood-Paley operators are bounded on Lipschitz functions on a space of homogenous type when the corresponding map function has finite value at some point. |
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| Keywords: | real analysis harmonic analysis homogenous type spaces Littlewood-Paley operator family operators |
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